The Belgian underwent ankle surgery in the summer and has yet to hit his stride in the Premier League for the Blues this season.
But Chelsea boss Conte has confirmed Hazard is now very close to being back to his best.
He said: “About Eden, for sure he is improving and to have this type of patience is paying off.
“He is very close to being totally fit and to continue in this way.
“Don't forget I have to make decision for the team and the best decision for the players.
“I think he is improving a lot and is very close to being 100 per cent fit.
“For Gary, he came back against Qarabag, he played very well with a good performance. I am pleased for him.
“I have another day to reflect and make the best decision for Sunday.”
Whether Conte chooses to start Hazard against Arsenal remains to be seen.
The two London teams clash on Sunday with the match getting underway at 1.30pm.
A win for Chelsea could see them go top of the table if Manchester United and Manchester City drop points.
